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3 years ago

Which statement is true about this data set? {43, 46, 48, 57, 42, 47, 48, 44, 46, 45, 48}

Mathematics

2 answers:

vfiekz [6]3 years ago

8 0

Answer: D) 57

Step-by-step explanation:

il63 [147K]3 years ago

5 0

Answer:

Option D.

Step-by-step explanation:

The given data set is

43, 46, 48, 57, 42, 47, 48, 44, 46, 45, 48

Arrange the data in ascending order.

42, 43, 44, 45, 46, 46, 47, 48, 48, 48, 57

Divide the data in 4 equal parts.

(42, 43), 44, (45, 46), 46, (47, 48), 48, (48, 57)

$Q_1=44, Median=46, Q_3=48$

The interquartile rage is

$IQR=Q_3-Q_1$

$IQR=48-44=4$

Lower fence:

$Q_1-1.5(IQR)=44-1.5(4)=38$

Upper fence:

$Q_3+1.5(IQR)=48+1.5(4)=54$

If the data lie outside the lower and upper fence, then that element is known as outliers.

$57\notin[38,54]$

57 is an outlier because it is greater than the upper fence.

Therefore, the correct option is D.

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For PE Mr Jones wants to split boys and girls equally into as many mixed groups as possible. There are 168 boys and 60 girls. Ho

Bond [772]

Answer:

Step-by-step explanation:

You need the greatest common factor of 168 and 60.

168 = 2^3 * 3 * 7

60 = 2^2 * 3 * 5

For the GCF, you need common factors with the lower exponent.

Between 2^3 and 2^2, choose 2^2.

Then you have 3 as a common factor.

5 and seven are not common.

GCF = 2^2 * 3 = 12

Answer: 12

8 0

2 years ago

A line through the origin and (10,4) is showin in the standard (x,y) coordinate plane below. The acute angle between the line an

Snowcat [4.5K]

Answer:

$\cos\theta=\frac{10}{\sqrt{116}}$

Step-by-step explanation:

To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.

$\cos\theta$ is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.

We can use Pythagorean's Theorem to find the hypotenuse (let $c$ represent the length of the hypotenuse):

$10^2+4^2=c^2$

$100+16=c^2$

$116=c^2$

$c=\sqrt{116}$

Thus, we know the adjacent is 10, and the hypotenuse is $\sqrt{116}$ . This means $\cos\theta=\frac{10}{\sqrt{116}}$ .

Hope this helps!

5 0

2 years ago

Help broooo math suckssss

astra-53 [7]

Answer:

the answer is BOA

4 0

3 years ago

Read 2 more answers

A ditch contains 10 centimeters of water. Rainwater accumulates in the ditch as follows: 10 centimeters of water by the end of t

kondaur [170]

Firstly, let's create a function of f(t) where t represents the time that has past, and f(t) represents the amount of rainwater. We know that when t=1, then f(t)=10, and t=2 then f(t)=15. So, let's take that and analyze it:

(1,10)
(2,15)
m = (15-10)/(2-1) = 5
y-intercept = 5
∴ f(t) = 5t+5

Now we just evaluate t for 10:

f(10) = (5*10)+5
f(10) = 55

3 0

2 years ago

Write the decimal as a percent.<br>0.12568

Kobotan [32]

12.568% is the correct answer

6 0

3 years ago

Read 2 more answers